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baherus [9]
3 years ago
11

Can someone explain in the clearest way possible how to solve this problem and also does it involve using sin cos tan formulas?

Mathematics
1 answer:
baherus [9]3 years ago
8 0

9514 1404 393

Answer:

  480 ft

Step-by-step explanation:

The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.

The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.

  8 × 60 ft = 480 ft

The lighthouse is 480 feet away.

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LuckyWell [14K]
How to simplify:
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7 0
3 years ago
Consider a box that contains 14 red balls,12 blue balls,and 9 yellow balls.A ball is drawn at random and the color is noted and
allochka39001 [22]

Answer:

a. The probability of both balls are blue is \frac{144}{1225}.

b. The probability of getting first red and second yellow ball is \frac{18}{175}.

Step-by-step explanation:

It is given that the box contains 14 red balls,12 blue balls,and 9 yellow balls. The total number of balls is

14+12+9=35

The probability is defined as

p=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}

Probability of getting red ball =  \frac{14}{35}

Probability of getting blue ball =  \frac{12}{35}

Probability of getting yellow ball =  \frac{9}{35}

It is given that a ball is drawn at random and the color is noted and then put back inside the box. It means first event will not effect the probability of second event.

a.

The probability of both balls are blue is

\frac{12}{35}\times \frac{12}{35}=\frac{144}{1225}

b.

The probability of getting first red and second yellow ball is

\frac{14}{35}\times \frac{9}{35}=\frac{18}{175}

6 0
4 years ago
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Mumz [18]
Answer:

The first one B

Step by step explanation:

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Answer:

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